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Theorem pathex-trans

⊦ path∃(str, r, r0, st) ∧ path∃(str, r0, r1, st) → path∃(str, r, r1, st)

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by: pathex-put-pathex-array-refval,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 6
Proof steps: 20
Used lemmas: validrefs-trans, pathex-def,
Used spec theorems:
- Used simplifier rules:
  - list-last/references/lapp
  - list/references/app-02-ant
  - list/references/e
  - list/references/c-08
  - list-last/references/l-02
  - list/references/app
  - list-last/references/l
  - list/references/a
  - list/references/e-01
  - list/references/c
  - list-data/references/elim-list-c